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Fractal Sequence (Posted on 2009-09-18) Difficulty: 2 of 5
It is easy to continue this sequence, but where does it come from?

1, 9, 1, 89, 1, 9, 1, 889, 1, 9, 1, 89, 1, 9, 1, 8889, 1, 9, ...

No Solution Yet Submitted by Jer    
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solution Comment 1 of 1

start with the sequence of all decimal numbers with only the digits 0,1 and take their first differences.  i.e
0,1,10,11,100,101,110,111,1000,1001,1010,1011,....
1-0=1
10-1=9
11-10=1
100-11=89
101-100=1
110-101=9
111-110=1
1000-111=889
1001-1000=1
1010-1001=9
1011-1010=1
.......


  Posted by Daniel on 2009-09-18 12:06:59
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